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24116130 = 2345191567
BaseRepresentation
bin101101111111…
…1101110100010
31200101020010000
41123333232202
522133204010
62220520430
7411661263
oct133775642
950336100
1024116130
1112681895
1280b0116
134cc4acc
1432ba96a
1521b57c0
hex16ffba2

24116130 has 80 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 6088608.

The previous prime is 24116129. The next prime is 24116137. The reversal of 24116130 is 3161142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24116137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14607 + ... + 16173.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 224116130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24116130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

24116130 is an abundant number, since it is smaller than the sum of its proper divisors (44185950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24116130 is a wasteful number, since it uses less digits than its factorization.

24116130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 24116130 is about 4910.8176508602. The cubic root of 24116130 is about 288.9144113436.

Adding to 24116130 its reverse (3161142), we get a palindrome (27277272).

The spelling of 24116130 in words is "twenty-four million, one hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1567 1710 2565 3078 3134 4701 5130 7695 7835 9402 14103 15390 15670 23505 28206 29773 42309 47010 59546 70515 84618 89319 126927 141030 148865 178638 211545 253854 267957 297730 423090 446595 535914 634635 803871 893190 1269270 1339785 1607742 2411613 2679570 4019355 4823226 8038710 12058065 24116130